52093440 has 480 divisors, whose sum is σ = 229806720. Its totient is φ = 10616832.

The previous prime is 52093427. The next prime is 52093453. The reversal of 52093440 is 4439025.

52093440 = 693² + 694² + ... + 787².

It is an interprime number because it is at equal distance from previous prime (52093427) and next prime (52093453).

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2741751 + ... + 2741769.

It is an arithmetic number, because the mean of its divisors is an integer number (478764).

Almost surely, 2^52093440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114903360).

52093440 is an abundant number, since it is smaller than the sum of its proper divisors (177713280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52093440 is a wasteful number, since it uses less digits than its factorization.

52093440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 52093440 is about 7217.5785413115. The cubic root of 52093440 is about 373.4745497516.

It can be divided in two parts, 5209 and 3440, that added together give a square (8649 = 93²).

The spelling of 52093440 in words is "fifty-two million, ninety-three thousand, four hundred forty".